CPM Homework Help : CALC Problem 6-118

For each of the following functions, find $f^\prime(x)$ .

$f(x) =\operatorname{cot}(5x^2-2x)$
Hint (a):
$\text{Recall that }\frac{d}{dx}\cot(x)=-\csc^{2}(x).$

$f ( x ) = \frac { 1 } { \operatorname { cot } x ^ { 4 } }$
Hint 1(b):
Before differentiating, rewrite the expression.
Hint 2(b):
Note that $\operatorname{cot}(x^4) ≠\operatorname{cot}^4(x)$ .